What is the kinetic energy (in J) of the block when it is moving at 4.00 m/s?  ______J   Next, let's calculate the work (in J) done on the block by the rope.  ______J   Let's continue analyzing the example from the previous step. Using the initial kinetic energy and work found in the previous step, what is the final kinetic energy (in J) of the block, after it has moved the 3.00 m distance?  _____J   Now that we have the final kinetic energy, use it and the mass of the block to solve for the final speed (in m/s). ______ m/s

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 26P: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...
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Let's imagine a block on a sheet of ice, with negligible friction. The block has a mass of 5.00 kg. The block is currently moving to the right at 4.00 m/s. Let's say a rope is attached to this block, and it pulls horizontally on the block, also to the right, with a force of 11.0 N. With this force applied, the block moves a distance of 3.00 m to the right. 
 
 
We can use the work-kinetic energy theorem. That is, if we can find an initial kinetic energy, and find the work, we can then solve for the final kinetic energy. Knowing the final kinetic energy, we can find the final speed.
Let's first find the initial kinetic energy.
 
What is the kinetic energy (in J) of the block when it is moving at 4.00 m/s?
 ______J
 
Next, let's calculate the work (in J) done on the block by the rope.
 ______J
 
Let's continue analyzing the example from the previous step.
Using the initial kinetic energy and work found in the previous step, what is the final kinetic energy (in J) of the block, after it has moved the 3.00 m distance?
 _____J
 
Now that we have the final kinetic energy, use it and the mass of the block to solve for the final speed (in m/s).
______ m/s
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